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Finding the Fourth Proportional to 1,195.23, 1,649.40 and 729.48

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Solution

The fourth proportional to 1,195.23, 1,649.40 and 729.48 is: 1,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.23 : 1,649.40 = 729.48 : x
  2. Step 2: Convert to fraction form
    1,195.23/1,649.40 = 729.48/x
  3. Step 3: Cross multiply
    1,195.23x = 1,649.40 × 729.48
  4. Step 4: Simplify right side
    1,195.23x = 1,203,204.31
  5. Step 5: Solve for x
    x = 1,203,204.31/1,195.23
  6. Step 6: Final answer
    x = 1,006.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.